Solution to a System of Equations

Example

Consider the system of equations y = 2x and y = 4x² − 1 :

The solutions to this system are the ordered pairs of coordinates ($\frac{1 + \sqrt{5}}{4}$,$\frac{1 + \sqrt{5}}{2}$) and ($\frac{1 – \sqrt{5}}{4}$,$\frac{1 – \sqrt{5}}{2}$).